Question

Chapter 23, Problem 30 A tank circuit in a radio transmitter is a series RCL circuit connected to an antenna. The antenna broadcasts radio signals at the resonant frequency of the tank circuit. Suppose that a certain tank circuit in a shortwave radio transmitter has a fixed capacitance of 1.9 x 10-11 F and a variable inductance. If the antenna is intended to broadcast radio signals ranging in frequency from 3.1 MHz to 8.5 MHz, find the (a) minimum and (b) maximum inductance of the tank circuit. (a) Number Units (b) Number Units SHOW HINT

Answer 1

At resonance,

wL = 1/wC

L = 1/w^2 C

A)

L = 1/(8.5 x 10^6 x 2pi)^2 x 1.9 x 10^-11 = 1.85 x 10^-5 H

B)

L = 1/(3.1 x 10^6 x 2pi)^2 x 1.9 x 10^-11 = 1.39 x 10^-4 H

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